Many-body Physics in One-dimensional Ultra-cold Atomic Systems

Ludwig Mathey, Ashvin Vishwanath, Ehud Altman

Ludwig Mathey

Randall G. Hulet

Karen V. Kheruntsyan, Hui Hu, P. D. Drummond

The one-dimensional (1D) Bose gas model of particles interacting via a repulsive delta-function potential is a remarkable system for extending our understanding of the physics of interacting quantum many-body systems. On the one hand, the model is exactly solvable in quantum many-body theory. On the other hand, it is now experimentally realizable with ultra-cold alkali atoms in highly anisotropic trapping potentials. Thus there are outstanding opportunities for accurate tests of theory that were previously unavailable, in turn leading to the development of fundamental knowledge and novel practical applications such as precision measurements.

Hui Zhai

Patrick Doria, Tommaso Calarco, Simone Montangero

We present an efficient strategy for controlling a vast range of non-integrable quantum many body one-dimensional systems that can be merged with state-of-the-art tensor network simulation methods like the density Matrix Renormalization Group. To demonstrate its potential, we employ it to solve a major issue in current optical-lattice physics with ultra-cold atoms: we show how to reduce by about two orders of magnitudes the time needed to bring a superfluid gas into a Mott insulator state, while suppressing defects by more than one order of magnitude as compared to current experiments [1]. Finally, we show that the optimal pulse is robust against atom number fluctuations.